Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7587, 7590 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7587 and 7590 is 3.
GCF(7587,7590) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7587
3 | 7587 |
3 | 2529 |
3 | 843 |
281 | 281 |
1 |
Prime factors of 7587 are 3,281. Prime factorization of 7587 in exponential form is:
7587 = 33×2811
Prime Factorization of 7590
2 | 7590 |
3 | 3795 |
5 | 1265 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 7590 are 2,3,5,11,23. Prime factorization of 7590 in exponential form is:
7590 = 21×31×51×111×231
∴ So by taking common prime factors GCF of 7587 and 7590 is 3
Factors of 7587
List of positive integer factors of 7587 that divides 7587 without a remainder.
1,3,9,27,281,843,2529,7587
Factors of 7590
List of positive integer factors of 7590 that divides 7590 without a remainder.
1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Greatest Common Factor
We found the factors and prime factorization of 7587 and 7590. The biggest common factor number is the GCF number.
So the greatest common factor 7587 and 7590 is 3.
Also check out the Least Common Multiple of 7587 and 7590
(i) The GCF of 7587 and 7590 is associative
GCF of 7587 and 7590 = GCF of 7590 and 7587
1. What is the GCF of 7587 and 7590?
Answer: GCF of 7587 and 7590 is 3.
2. What are the Factors of 7587?
Answer: Factors of 7587 are 1, 3, 9, 27, 281, 843, 2529, 7587. There are 8 integers that are factors of 7587. The greatest factor of 7587 is 7587.
3. What are the Factors of 7590?
Answer: Factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590. There are 32 integers that are factors of 7590. The greatest factor of 7590 is 7590.
4. How to Find the GCF of 7587 and 7590?
Answer:
Greatest Common Factor of 7587 and 7590 = 3
Step 1: Find the prime factorization of 7587
7587 = 3 x 3 x 3 x 281
Step 2: Find the prime factorization of 7590
7590 = 2 x 3 x 5 x 11 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7587 and 7590 is 3